reserve p for preProgram of SCM+FSA,
  ic for Instruction of SCM+FSA,
  i,j,k for Nat,
  fa,f for FinSeq-Location,
  a,b,da,db for Int-Location,
  la,lb for Nat;
reserve p1,p2,q for Instruction-Sequence of SCM+FSA;
reserve n for Nat;

theorem Th7:
  ic in rng p & (ic = a=0_goto la or ic = a>0_goto la)
  implies a in UsedILoc p
proof
  assume that
A1: ic in rng p and
A2: ic = a=0_goto la or ic = a>0_goto la;
A3: UsedIntLoc ic = {a} by A2,SF_MASTR:16;
  UsedIntLoc ic c= UsedILoc p by A1,SF_MASTR:19;
  hence thesis by A3,ZFMISC_1:31;
end;
